Pith. sign in

Paper Citation Record · LEDGER

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles

As of 19 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2508.05284.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2508.05284 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T23:28:05.109644Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact2
  • verified fuzzy23
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6e44cae-5273-4f8d-8921-f36dda8572e1 · outbound

This paper cites Probabilistic analysis of LLL -based decoder of interleaved C hinese remainder codes.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Probabilistic analysis of LLL -based decoder of interleaved C hinese remainder codes

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.532918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:04.985728Z digest=sha256:ade74e485085e71113f9df4081d89e1f1cb89ea931b156d6c0c4dbf5580ab73a

Observation ee016ef2-fcdf-4735-a70a-fec88d7575a9 · outbound

This paper cites Decoding simultaneous rational evaluation codes.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Decoding simultaneous rational evaluation codes

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.519411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:04.990979Z digest=sha256:89b2578d0188d598faabada481e3d7e0fb5676661ef4c112bb308f2f65d59fc4

Observation 4a182ffe-d66e-4fb1-bb4d-ab6831fdff2f · outbound

This paper cites Simultaneous Rational Number Codes: Decoding Beyond Half the Minimum Distance with Multiplicities and Bad Primes.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Simultaneous Rational Number Codes: Decoding Beyond Half the Minimum Distance with Multiplicities and Bad Primes

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:28:05.173216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:04.996161Z digest=sha256:0de988f906486fc02fc1d7bd1cf3de28b29766b069b32824469e096633dd3d59

Observation 63b8f330-ed46-474b-9b69-5b8d2f060b0f · outbound

This paper cites Unique Decoding of Reed-Solomon and Related Codes for Semi-Adversarial Errors.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Unique Decoding of Reed-Solomon and Related Codes for Semi-Adversarial Errors

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-05T23:28:05.152681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.002329Z digest=sha256:a0dd95ae23af22521d0b5ae21b2af13558f243f510662c81940bfc3fed1298eb

Observation 0ec95bd0-9594-4213-a345-b0cc3eec53c7 · outbound

This paper cites Numerical linear system solving with parametric entries by error correction.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Numerical linear system solving with parametric entries by error correction

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.504116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.007673Z digest=sha256:cc5d058d78da03deb73ca9883f63bf921bdb90fcc1291860f298c2a2389d8fbf

Observation 6a537f94-799b-491d-9ebb-6424c0258188 · outbound

This paper cites Decoding of interleaved R eed S olomon codes over noisy data.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Decoding of interleaved R eed S olomon codes over noisy data

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.490149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.012404Z digest=sha256:a5be935379b1c5eee248cd4832daf1af2ac0fe2a1076cbd9af9d6293f7e57c13

Observation 1865821e-2af1-4708-af85-0b4012b16ef1 · outbound

This paper cites Exact solution of linear equations.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Exact solution of linear equations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.476104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.017547Z digest=sha256:5e7eed4423f7bd33a83d7be9452bce6f78bbc286f69995ea5ace9e5cabf4d6ff

Observation 01d118fc-cd1a-4b46-a6de-75eb5037d0a5 · outbound

This paper cites The multiple subset sum problem.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles The multiple subset sum problem

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.462402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.022419Z digest=sha256:098373a89e7673672f26de3dd3d72ae73acd429bee0649f4b21524c3bf774104

Observation b01b3d7a-3368-4bc1-8c32-7dcab4692dab · outbound

This paper cites an unresolved cited work.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:28:05.447688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.026919Z digest=sha256:b5dcdcb8ec0f1abd74bddc4447ee29da578dce29865b020e9bc207800218f32c

Observation a9850121-6e19-471f-9c65-617306c3e401 · outbound

This paper cites Simultaneous rational function reconstruction with errors: Handling multiplicities and poles.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Simultaneous rational function reconstruction with errors: Handling multiplicities and poles

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.434746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.031714Z digest=sha256:cc235f12b1d7c5ebcad148a18d55131fb0ef4fe6e85be1a6aaeed4dd847f9768

Observation 3962559c-1e0e-4c1c-a886-32abe8fac653 · outbound

This paper cites Polynomial linear system solving with errors by simultaneous polynomial reconstruction of interleaved R eed- S olomon codes.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Polynomial linear system solving with errors by simultaneous polynomial reconstruction of interleaved R eed- S olomon codes

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.420980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.036209Z digest=sha256:3c2fe13ce0d59f5b49207864c0faa99f1edd661b0e71b2769c4e860e177ec8e0

Observation e4269cc0-a542-42fa-ad57-ae91e9086b42 · outbound

This paper cites Early termination in parametric linear system solving and rational function vector recovery with error correction.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Early termination in parametric linear system solving and rational function vector recovery with error correction

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.407170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.040743Z digest=sha256:b466f3ab64df07eeb48546cbad7de52071ec0070182862a974f0754ddf44d3b3

Observation 1cec3da3-fbff-4201-9f0a-808183f2713b · outbound

This paper cites Hermite rational function interpolation with error correction.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Hermite rational function interpolation with error correction

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.392913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.045290Z digest=sha256:08d9ebe3eefc0c74ec9334680b9a9125fc8210004e7b02870cd264ac56551cce

Observation 1e50cb07-8693-44d9-93b3-5cfcaa770abf · outbound

This paper cites Contributions à l'algorithmique détendue et à la résolution des systèmes polynomiaux.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Contributions à l'algorithmique détendue et à la résolution des systèmes polynomiaux

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.378174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.049640Z digest=sha256:b9fcc6476e81f3746521bc4e5d30960f88f7ee9f28e8b93934d1da4d6aae9d50

Observation 5ab49873-d9d0-4c0f-bc8d-e3bb6cf92780 · outbound

This paper cites Chinese remainder and interpolation algorithms.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Chinese remainder and interpolation algorithms

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.363105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.054283Z digest=sha256:9e17266902f9abc8c40d2622225bb14f7542bd4e8204b777e2403af8a5f50551

Observation 068e7546-f378-4d3e-bab2-e1bc16213292 · outbound

This paper cites On decoding interleaved C hinese remainder codes.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles On decoding interleaved C hinese remainder codes

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.349172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.059404Z digest=sha256:833528b6fa5cf3cf26e5cc2d4f2af39b8ad8da45cb288de2e4d534335603ad28

Observation 882609af-5198-4b44-9e65-12120f1e6a14 · outbound

This paper cites an unresolved cited work.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-05T23:28:05.335315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.064553Z digest=sha256:3935f044bc25709694dc6e6098321ba6e744de6f002fcfabc75171f660a2d0b8

Observation ba221309-8a38-4c8a-984b-9db7670872a5 · outbound

This paper cites The exact solution of linear equations with rational function coefficients.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles The exact solution of linear equations with rational function coefficients

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.321220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.068898Z digest=sha256:439dec6a609319fad7f568cb402aca66a7db5efa1a155b8571772a4419c3043e

Observation ad1c1413-0620-4b50-a076-c134d60d7f48 · outbound

This paper cites Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Maximal quotient rational reconstruction: an almost optimal algorithm for rational reconstruction

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.307164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.073071Z digest=sha256:07bbe39eba3976f0294234f2f16d43d639540b99cf10792632d82396a1e791f3

Observation 373375a9-9492-4c91-9c78-5911ed9ef218 · outbound

This paper cites The vector rational function reconstruction problem.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles The vector rational function reconstruction problem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.292976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.077441Z digest=sha256:9ea842f2a34332b33a3db8a439825d5196106307a76833d4be7a3c547ff94e19

Observation a31cf2c2-b041-4bc9-b389-dca4174d57b1 · outbound

This paper cites High performance and reliable algebraic computing.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles High performance and reliable algebraic computing

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.278323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.081809Z digest=sha256:3369ea7fb291893792883f62c269c42b221c555f712d25eb5e6ed64ddb96519f

Observation 304ec7af-c7a9-4a0c-ab50-787d720561d4 · outbound

This paper cites Polynomial codes over certain finite fields.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Polynomial codes over certain finite fields

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.263805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.085981Z digest=sha256:5451650bc40635cfa54fc836924d249b33781c89d546f805b6b7042a17466e93

Observation 092b3acd-9301-42a0-9355-7c1664375b1c · outbound

This paper cites Algorithms for simultaneous P ad \'e approximations.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Algorithms for simultaneous P ad \'e approximations

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.248775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.091372Z digest=sha256:e20c502e7a28aebde4bc0a0a1b3d47b64296521edd7ce2824035babaeb324ef7

Observation 44121d20-0454-402b-a9cc-72321d4bbff5 · outbound

This paper cites Collaborative decoding of interleaved R eed-- S olomon codes and concatenated code designs.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Collaborative decoding of interleaved R eed-- S olomon codes and concatenated code designs

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.233749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.096410Z digest=sha256:671673ff62bac36e0e16b494adcdd02af96e5070fe1fb08d14448802be3c3392

Observation cd2a0076-ed93-4ac6-87d8-bb052ce75002 · outbound

This paper cites The shifted number system for fast linear algebra on integer matrices.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles The shifted number system for fast linear algebra on integer matrices

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.218564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.100813Z digest=sha256:ba3c460bec75c0bf875cb716a465d4cc337ee43a3b9786d7ce15d0b0c515c15b

Observation 4bf062cc-666e-4a3f-93b1-6c27c12e71cf · outbound

This paper cites A study of C oppersmith's block W iedemann algorithm using matrix polynomials.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles A study of C oppersmith's block W iedemann algorithm using matrix polynomials

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.203666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.105284Z digest=sha256:c5983305c72da3744b6a234538391f7c527b46ed1f0f5d78987ae1369f78e6ec

Observation 8aea2709-0077-4c16-9ae4-cb94e45c8214 · outbound

This paper cites Simultaneous Rational Function Reconstruction and applications to Algebraic Coding Theory.

Simultaneous Rational Function Codes: Improved Analysis Beyond Half the Minimum Distance with Multiplicities and Poles Simultaneous Rational Function Reconstruction and applications to Algebraic Coding Theory

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T23:28:05.187913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=arxiv_source observed=2026-08-05T23:28:05.109644Z digest=sha256:35290e29a8384da7f4f3efb8a510e031ea2c339df0d14e94ceee271afa88ad92

Pith citing papers

No inbound Pith citation observations are available.